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Finding the Third Proportional to 373,697 and 580,236

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Solution

The third proportional to 373,697 and 580,236 is: 900,927.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,697 : 580,236 = 580,236 : x
  2. Step 2: Convert to fraction form
    373,697/580,236 = 580,236/x
  3. Step 3: Cross multiply
    373,697x = 580,236 × 580,236
  4. Step 4: Simplify right side
    373,697x = 336,673,815,696
  5. Step 5: Solve for x
    x = 336,673,815,696/373,697
  6. Step 6: Final answer
    x = 900,927.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.